Geodesic
Existence and multiplicity of solutions for sublinear ordinary differential equations at resonance
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Using a $$ \mathcal{L} u(t)=\mu u(t)+W_u(t,u(t)),\quad 0\leq t\leq L $$ with suitable periodic or boundary conditions. Here $\mathcal{L}$ is a linear positive selfadjoint operator, $\mu$ is a parameter between two egienvalues of this operator, and $W_u$ is the gradient of a potential function.
Classification : 58E05, 34C37, 70H05
Keywords: sublinear potential, $Z_2$ type index theorem, critical point, resonance, Hamiltonian system 
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     author = {Li, Chengyue and Chen, Fenfen},
     title = {Existence and multiplicity of solutions for sublinear ordinary differential equations at resonance},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a61/}
}
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Li, Chengyue; Chen, Fenfen. Existence and multiplicity of solutions for sublinear ordinary differential equations at resonance. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a61/